J4 ›› 2014, Vol. 41 ›› Issue (4): 71-76.doi: 10.3969/j.issn.1001-2400.2014.04.013

• Original Articles • Previous Articles     Next Articles

Adaptive synchronization for unknown complex dynamical networks with non-identical nodes

HAO Xiuqing;LI Junmin   

  1. (School of Mathematics and Statistics, Xidian Univ., Xi'an  710071, China)
  • Received:2013-10-11 Online:2014-08-20 Published:2014-09-25
  • Contact: HAO Xiuqing E-mail:haoxq1980@163.com

Abstract:

An adaptive synchronization approach for unknown complex dynamical networks with non-identical nodes and nonlinear coupling with time-varying delays is proposed via learning control. By using the signal replacement technique and reconstructing the system equation, all unknown time-varying terms are combined into a periodically time-varying vector which is estimated by a periodic adaptive learning mechanism. A sufficient condition for the synchronization and boundedness of all signals are given by constructing a composite energy function. Finally, a numerical example is given to show the effectiveness of the designed method.

Key words: synchronization, complex dynamical networks, non-identical nodes, adaptive learning control

CLC Number: 

  • TP273